Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking

Dupont, Maxime; Laflorencie, Nicolas; Lemarié, Gabriel

doi:10.1103/physrevb.102.174205

Title: Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking

Journal Article · Thu Nov 19 00:00:00 EST 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.174205· OSTI ID:1788009

^[1]; Laflorencie, Nicolas ^[2]; Lemarié, Gabriel ^[2]

Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Science Division
Univ. of Toulouse (France). Laboratoire de Physique Theorique, IRSAMC

Building on large-scale quantum Monte Carlo simulations, we investigate the zero-temperature phase diagram of hard-core bosons in a random potential on site-centered Cayley trees with branching number K=2. In order to follow how the Bose-Einstein condensate (BEC) is affected by the disorder, we focus on both the zero-momentum density, probing the quantum coherence, and the one-body density matrix (1BDM) whose largest eigenvalue monitors the off-diagonal long-range order. We further study its associated eigenstate which brings useful information about the real-space properties of this leading eigenmode. Upon increasing randomness, we find that the system undergoes a quantum phase transition at finite disorder strength between a long-range ordered BEC state, fully ergodic at large scale, and a new disordered Bose glass regime showing conventional localization for the coherence fraction while the 1BDM displays a nontrivial algebraic vanishing BEC density together with a nonergodic occupation in real space. These peculiar properties can be analytically captured by a simple phenomenological description on the Cayley tree which provides a physical picture of the Bose glass regime.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences & Engineering Division (SC-22.2)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1788009

Journal Information:: Physical Review. B, Vol. 102, Issue 17; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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